Complete equivalent fractions
- Age
- Ages 10–11
A fraction describes equal parts of a whole. In 3/4, the 4 means the whole is divided into four equal parts and the 3 means three are selected.
Divide two equal rectangles into four equal parts each. Shade one part in the first and three in the second: they represent 1/4 and 3/4.
One half of a whole and two of its four quarters occupy the same amount: 1/2 = 2/4. Multiply numerator and denominator by the same nonzero number to obtain an equivalent fraction: 1/2 = 3/6.
With a common denominator, add equal-sized parts: 1/5 + 2/5 = 3/5. With different denominators, find equivalent parts: 1/2 + 1/4 = 2/4 + 1/4 = 3/4.
A fraction describes equal parts of a whole. In 3/4, the 4 means the whole is divided into four equal parts and the 3 means three are selected. Draw a rectangle divided into four equal areas and shade three.
Before comparing two diagrams, check that their wholes are the same size. Two large pieces are not necessarily less than three small ones. Use a number line from 0 to 1 to connect the diagram with the fraction’s value.
Work through one example aloud before independent practice. To check 18 + 7 = 25, calculate 25 − 7. If a word problem asks about meters or coins, include that unit and check whether the answer fits the situation.